The area of a rectangle is 220 square centimeters. The height of the rectangle is two more than twice the base. What is the rectangle's perimeter?
I know you can solve this employing a guess-and-check strategy, but I want to know if this can be solved algebraically.
So far, I've performed every substitution under the sun; I keep arriving at contradictory deductions.
let the base be b, let the height be h
then it says.. h = 2b + 2
area of rectangle is base*height
b(2b+2)= 220
b^2 + 2b - 220 = 0
Do you know how to solve a quadratic?
my equation should have said
2b^2 + 2b - 220 = 0
it comes out to an integer value of b
Eureka. Sometimes we can't see the forest for the trees. Thank you immensely.
2 answers